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Trimmed mean or sample median?

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  • Oosterhoff, J.

Abstract

It is shown that in the symmetric case trimmed means are better estimates of location than sample medians, unless the error distributions are sharply peaked at the centre.

Suggested Citation

  • Oosterhoff, J., 1994. "Trimmed mean or sample median?," Statistics & Probability Letters, Elsevier, vol. 20(5), pages 401-409, August.
    • Handle: RePEc:eee:stapro:v:20:y:1994:i:5:p:401-409
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    Citations

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    Cited by:

    1. Mudholkar, Govind S. & Hutson, Alan D., 1997. "Asymmetric quasimedians: Remarks on an anomaly," Statistics & Probability Letters, Elsevier, vol. 32(3), pages 261-268, March.
    2. Khachapon Nimdet & Nathorn Chaiyakunapruk & Kittaya Vichansavakul & Surachat Ngorsuraches, 2015. "A Systematic Review of Studies Eliciting Willingness-to-Pay per Quality-Adjusted Life Year: Does It Justify CE Threshold?," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-16, April.
    3. Hawkins, Douglas M. & Olive, David, 1999. "Applications and algorithms for least trimmed sum of absolute deviations regression," Computational Statistics & Data Analysis, Elsevier, vol. 32(2), pages 119-134, December.
    4. Huang, J. S., 1999. "Third-order expansion of mean squared error of medians," Statistics & Probability Letters, Elsevier, vol. 42(2), pages 185-192, April.
    5. Guo, Jiin-Huarng & Luh, Wei-Ming, 2000. "An invertible transformation two-sample trimmed t-statistic under heterogeneity and nonnormality," Statistics & Probability Letters, Elsevier, vol. 49(1), pages 1-7, August.
    6. Croux, Christophe, 1998. "Limit behavior of the empirical influence function of the median," Statistics & Probability Letters, Elsevier, vol. 37(4), pages 331-340, March.
    7. Duden, C. & Offermann, F., 2019. "Farmers' risk exposition and its drivers," 171st Seminar, September 5-6, 2019, Zürich, Switzerland 333722, European Association of Agricultural Economists.
    8. Löw, Philipp & Osterburg, Bernhard, 2024. "Evaluation of nitrogen balances and nitrogen use efficiencies on farm level of the German agricultural sector," Agricultural Systems, Elsevier, vol. 213(C).
    9. Luc Aucremanne, 2000. "The use of robust estimators as measures of core inflation," Working Paper Research 02, National Bank of Belgium.
    10. Luis J. Álvarez & María de los Llanos Matea, 1999. "Underlying Inflation Measures in Spain," Working Papers 9911, Banco de España.

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